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Finding the Fourth Proportional to 9,570.69, 13,203.16 and 6,213.65

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Solution

The fourth proportional to 9,570.69, 13,203.16 and 6,213.65 is: 8,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.69 : 13,203.16 = 6,213.65 : x
  2. Step 2: Convert to fraction form
    9,570.69/13,203.16 = 6,213.65/x
  3. Step 3: Cross multiply
    9,570.69x = 13,203.16 × 6,213.65
  4. Step 4: Simplify right side
    9,570.69x = 82,039,733.58
  5. Step 5: Solve for x
    x = 82,039,733.58/9,570.69
  6. Step 6: Final answer
    x = 8,571.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.